baseball game vs base hit

baseball game and base hit both are nouns.

Word	Noun	Adjective	Verb	Adverb
baseball game	Yes	No	No	No
base hit	Yes	No	No	No

baseball game (noun)	base hit (noun)
a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs	(baseball) the successful act of striking a baseball in such a way that the batter reaches base safely